The dynamic response of structures subjected to moving load is a subject of great importance from a practical point of view. In this work, the in-plane dynamic response of a cracked isotropic circular curved beam subjected to moving loads is investigated using the finite element method. The curved beam is modeled using curved beam elements, which is developed based on the Timoshenko beam theory. Furthermore, a cracked curved beam element is developed to incorporate the presence of cracks in the structure. The effect of moving load speed, depth, and the location of the crack on the dynamic response of the beam is investigated. The outcome of the work can be useful in the study of real-life moving load problems like bridges and railways and also in the field of condition monitoring using moving loads.

中文翻译：

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未开裂和开裂圆曲梁在运动载荷作用下的平面径向振动

从实际的角度来看，承受移动载荷的结构的动力响应是一个非常重要的课题。在这项工作中，使用有限元方法研究了受移动载荷作用的有裂纹的各向同性圆形曲线梁的面内动力响应。弯曲梁使用基于 Timoshenko 梁理论开发的弯曲梁单元建模。此外，开发了一种有裂纹的弯曲梁单元，以结合结构中存在的裂纹。研究了移动载荷速度、深度和裂纹位置对梁动态响应的影响。这项工作的成果可用于研究现实生活中的移动载荷问题，如桥梁和铁路，以及使用移动载荷进行状态监测领域。